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Finding the Fourth Proportional to 1,520.64, 2,266.32 and 1,507.92

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Solution

The fourth proportional to 1,520.64, 2,266.32 and 1,507.92 is: 2,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.64 : 2,266.32 = 1,507.92 : x
  2. Step 2: Convert to fraction form
    1,520.64/2,266.32 = 1,507.92/x
  3. Step 3: Cross multiply
    1,520.64x = 2,266.32 × 1,507.92
  4. Step 4: Simplify right side
    1,520.64x = 3,417,429.25
  5. Step 5: Solve for x
    x = 3,417,429.25/1,520.64
  6. Step 6: Final answer
    x = 2,247.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.